Uthaipon Tantipongpipat

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This paper proves an optimal strategy for Ebert's hat game with three players and more than two hat colors. In general, for n players and k hat colours, we construct a strategy that is asymptotically optimal as k → ∞. Computer calculation for particular values of n and k suggests that, as long as n is linear with k, the strategy is asymptotically optimal.(More)
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